Phase transition in an exactly solvable reaction-diffusion process

Somayeh Zeraati, Farhad H. Jafarpour, and Haye Hinrichsen
Phys. Rev. E 87, 062120 – Published 14 June 2013

Abstract

We study a nonconserved one-dimensional stochastic process which involves two species of particles A and B. The particles diffuse asymmetrically and react in pairs as AAABAA and BBBABB. We show that the stationary state of the model can be calculated exactly by using matrix product techniques. The model exhibits a phase transition at a particular point in the phase diagram which can be related to a condensation transition in a particular zero-range process. We determine the corresponding critical exponents and provide a heuristic explanation for the unusually strong corrections to scaling seen in the vicinity of the critical point.

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  • Received 18 March 2013

DOI:https://doi.org/10.1103/PhysRevE.87.062120

©2013 American Physical Society

Authors & Affiliations

Somayeh Zeraati1,*, Farhad H. Jafarpour1,†, and Haye Hinrichsen2,‡

  • 1Bu-Ali Sina University, Physics Department, 65174-4161 Hamedan, Iran
  • 2Universität Würzburg, Fakultät für Physik und Astronomie, 97074 Würzburg, Germany

  • *s.zeraati@basu.ac.ir
  • farhad@ipm.ir
  • hinrichsen@physik.uni-wuerzburg.de

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Vol. 87, Iss. 6 — June 2013

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